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2059432320 = 27351197511
BaseRepresentation
bin111101011000000…
…0111000110000000
312022112012000001010
41322300013012000
513204203313240
6540204440520
7102014612601
oct17260070600
95275160033
102059432320
1196754aa90
12495849140
1326a885b0a
14157729da8
15c0c02280
hex7ac07180

2059432320 has 128 divisors (see below), whose sum is σ = 7161281280. Its totient is φ = 499251200.

The previous prime is 2059432301. The next prime is 2059432357. The reversal of 2059432320 is 232349502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20594323202 = 8482522961321164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27636 + ... + 69875.

It is an arithmetic number, because the mean of its divisors is an integer number (55947510).

Almost surely, 22059432320 is an apocalyptic number.

2059432320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2059432320 is an abundant number, since it is smaller than the sum of its proper divisors (5101848960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2059432320 is a wasteful number, since it uses less digits than its factorization.

2059432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97544 (or 97532 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2059432320 is about 45380.9686983431. The cubic root of 2059432320 is about 1272.2794370454.

The spelling of 2059432320 in words is "two billion, fifty-nine million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 97511 195022 292533 390044 487555 585066 780088 975110 1072621 1170132 1462665 1560176 1950220 2145242 2340264 2925330 3120352 3217863 3900440 4290484 4680528 5363105 5850660 6240704 6435726 7800880 8580968 9361056 10726210 11701320 12481408 12871452 15601760 16089315 17161936 18722112 21452420 23402640 25742904 31203520 32178630 34323872 37444224 42904840 46805280 51485808 62407040 64357260 68647744 85809680 93610560 102971616 128714520 137295488 171619360 187221120 205943232 257429040 343238720 411886464 514858080 686477440 1029716160 2059432320